Edit Profile Temme, Nico M. Compute Distance To: Compute Author ID: temme.nico-m Published as: Temme, N. M.; Temme, Nico; Temme, Nico M. External Links: MGP · Wikidata Documents Indexed: 169 Publications since 1970, including 23 Books Reviewing Activity: 240 Reviews Biographic References: 1 Publication all top 5 Co-Authors 68 single-authored 45 Segura, Javier 42 Gil, Amparo 19 López, José Luis 6 Pérez Sinusía, Ester 4 Deaño, Alfredo 3 Driver, Kathy A. 2 Dehesa, Jesús S. 2 Dunster, T. M. 2 Dzhaparidze, Kacha 2 Groeneboom, Piet 2 Sazhin, Sergei S. 2 Toranzo, Irene V. 2 van Leeuwaarden, Johan S. H. 2 Vidunas, Raimundas 1 Apt, Krzysztof Rafal 1 Arrayás, Manuel 1 Bakker, Monique 1 Brusset, Xavier 1 Carteret, Hilary A. 1 Chaudhry, Muhammad Aslam 1 Chelluri, R. 1 Coolen, T. M. T. 1 Daalhuis, A. B. Olde 1 de Groen, Pieter P. N. 1 de Jager, Eduard M. 1 de Vogelaere, R. J. 1 DeBruin, Robert L. 1 Diekmann, Odo 1 Dijkhuis, B. 1 Ebert, Ute 1 Fagan, William F. 1 Ferreira, Chelo 1 Gautschi, Walter 1 Harris, Frank E. 1 Huisman, Jef 1 Keitt, Timothy H. 1 Lalley, Steven P. 1 Langendijk, A. 1 Maas, Leo R. M. 1 Mainar, Esmeralda 1 Noble, Andrew E. 1 Olde Daalhuis, Adri B. 1 Puertas-Centeno, David 1 Richmond, Bruce 1 Richmond, L. Bruce 1 Ruiz-Antolín, Diego 1 Sanders, James B. T. 1 Schrijver, Alexander 1 Sommeijer, Ben P. 1 Soni, Kunal 1 Sumner, A. E. 1 van den Brink, Wulfert P. 1 van der Houwen, Pieter J. 1 van der Laan, C. G. 1 van Tiggelen, Bart A. 1 Varlamov, Vladimir V. 1 Veling, E. J. M. 1 Vitalis, F. 1 Zimmerman, Joseph T. F. all top 5 Serials 17 Journal of Computational and Applied Mathematics 8 ACM Transactions on Mathematical Software 7 Journal of Mathematical Analysis and Applications 7 SIAM Journal on Mathematical Analysis 6 Mathematics of Computation 6 Studies in Applied Mathematics 5 Journal of Computational Physics 5 Numerische Mathematik 5 Numerical Algorithms 4 Computer Physics Communications 4 Applied Mathematics and Computation 4 CWI Quarterly 3 SIAM Journal on Scientific Computing 3 ETNA. Electronic Transactions on Numerical Analysis 3 Methods and Applications of Analysis 2 Astrophysics and Space Science 2 Journal of Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Approximation Theory 2 Analysis and Applications (Singapore) 1 Computers & Mathematics with Applications 1 Geophysical and Astrophysical Fluid Dynamics 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of the Institute of Mathematics and its Applications 1 Bulletin of Mathematical Biology 1 Journal of Differential Equations 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Analysis 1 Statistics & Probability Letters 1 Constructive Approximation 1 Applied Mathematics Letters 1 European Journal of Operational Research 1 Journal of Physics A: Mathematical and General 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Indagationes Mathematicae. New Series 1 Applied and Computational Harmonic Analysis 1 Annals of Numerical Mathematics 1 Advances in Computational Mathematics 1 Electronic Communications in Probability 1 Analysis (München) 1 La Gaceta de la Real Sociedad Matemática Española 1 Nieuw Archief voor Wiskunde. Vijfde Serie 1 Acta Numerica 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Epsilon Uitgaven 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Theoretical Biology all top 5 Fields 108 Special functions (33-XX) 73 Numerical analysis (65-XX) 66 Approximations and expansions (41-XX) 14 Functions of a complex variable (30-XX) 11 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 9 Probability theory and stochastic processes (60-XX) 7 Number theory (11-XX) 7 Statistics (62-XX) 6 Integral transforms, operational calculus (44-XX) 4 General and overarching topics; collections (00-XX) 4 Sequences, series, summability (40-XX) 4 Optics, electromagnetic theory (78-XX) 3 Difference and functional equations (39-XX) 3 Fluid mechanics (76-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 134 Publications have been cited 1,148 times in 718 Documents Cited by ▼ Year ▼ Special functions. An introduction to the classical functions of mathematical physics. Zbl 0856.33001Temme, Nico M. 213 1996 Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters. Zbl 0863.33002Temme, N. M. 105 1996 Numerical methods for special functions. Zbl 1144.65016Gil, Amparo; Segura, Javier; Temme, Nico M. 91 2007 The asymptotic expansion of the incomplete gamma functions. Zbl 0412.33001Temme, N. M. 31 1979 Large parameter cases of the Gauss hypergeometric function. Zbl 1019.33003Temme, Nico M. 24 2003 Two-point Taylor expansions of analytic functions. Zbl 1141.30300López, José L.; Temme, Nico M. 24 2002 Critical conditions for phytoplankton blooms. Zbl 1323.92161Ebert, Ute; Arrayás, Manuel; Temme, Nico; Sommeijer, Ben; Huisman, Jef 23 2001 Asymptotic estimates of Stirling numbers. Zbl 0784.11007Temme, N. M. 22 1993 The uniform asymptotic expansion of a class of integrals related to cumulative distribution functions. Zbl 0489.41031Temme, N. M. 20 1982 Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function. Zbl 0313.33002Temme, N. M. 20 1975 Asymptotic methods for integrals. Zbl 1312.41002Temme, Nico M. 16 2015 Asymptotics and closed form of a generalized incomplete gamma function. Zbl 0853.33003Chaudhry, M. A.; Temme, N. M.; Veling, E. J. M. 16 1996 Uniform Airy-type expansions of integrals. Zbl 0799.41028Olde Daalhuis, A. B.; Temme, N. M. 15 1994 Approximations of orthogonal polynomials in terms of Hermite polynomials. Zbl 0958.33004López, José L.; Temme, Nico M. 13 1999 Uniform asymptotic expansion for a class of polynomials biorthogonal on the unit circle. Zbl 0601.41031Temme, N. M. 13 1986 Asymptotic estimates for Laguerre polynomials. Zbl 0688.33007Temme, N. M. 12 1990 Calculation of special functions: The gamma function, the exponential integrals and error-like functions. Zbl 0547.65007van der Laan, C. G.; Temme, N. M. 12 1984 The numerical computation of the confluent hypergeometric function U(a,b,z). Zbl 0489.33001Temme, N. M. 12 1983 Efficient and accurate algorithms for the computation and inversion of the incomplete gamma function ratios. Zbl 1259.33006Gil, Amparo; Segura, Javier; Temme, Nico M. 11 2012 Numerical and asymptotic aspects of parabolic cylinder functions. Zbl 0966.65023Temme, Nico M. 11 2000 Multi-point Taylor expansions of analytic functions. Zbl 1047.30002López, José L.; Temme, Nico M. 10 2004 On the numerical evaluation of the modified Bessel function of the third kind. Zbl 0334.65013Temme, N. M. 10 1975 New series expansions of the Gauss hypergeometric function. Zbl 1276.33006López, José L.; Temme, Nico M. 9 2013 Multi-point Taylor approximations in one-dimensional linear boundary value problems. Zbl 1158.65051López, José L.; Pérez Sinusía, Ester; Temme, Nico M. 9 2009 Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials. Zbl 0979.33004López, José L.; Temme, Nico M. 9 1999 Numerical algorithms for uniform Airy-type asymptotic expansions. Zbl 0886.65012Temme, N. M. 9 1997 Nonlinear diffusion problems. Zbl 0357.35002Diekmann, O. (ed.); Temme, N. M. (ed.) 9 1976 Numerically satisfactory solutions of hypergeometric recursions. Zbl 1117.33005Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2007 Evaluation of the modified Bessel function of the third kind of imaginary orders. Zbl 0996.65026Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2002 The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis. Zbl 0990.33010Temme, N. M.; López, J. L. 8 2001 On nonoscillating integrals for computing inhomogeneous Airy functions. Zbl 0972.33004Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2001 On the expansion of confluent hypergeometric functions in terms of Bessel functions. Zbl 0455.33002Temme, N. M. 8 1981 An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives. Zbl 0415.65012Temme, N. M. 8 1979 Analytical methods for an elliptic singular perturbation problem in a circle. Zbl 1331.35117Temme, N. M. 7 2007 Algorithm 831: Modified Bessel functions of imaginary order and positive argument. Zbl 1072.65025Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2004 Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002Gautschi, Walter; Harris, F. E.; Temme, N. M. 7 2003 Steepest descent paths for integrals defining the modified Bessel functions of imaginary order. Zbl 0848.33003Temme, N. M. 7 1994 Asymptotic and numerical aspects of the noncentral chi-square distribution. Zbl 0768.62013Temme, N. M. 7 1993 Asymptotic inversion of incomplete gamma functions. Zbl 0759.33001Temme, N. M. 7 1992 Incomplete Laplace integrals: Uniform asymptotic expansion with application to the incomplete beta function. Zbl 0641.33002Temme, N. M. 7 1987 Uniform asymptotic expansions of Laplace integrals. Zbl 0541.41036Temme, Nico M. 7 1983 Uniform asymptotic expansions of confluent hypergeometric functions. Zbl 0398.33004Temme, N. M. 7 1978 Analytical methods for a singular perturbation problem in a sector. Zbl 0295.35005Temme, N. M. 7 1975 GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). Zbl 1345.62012Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2015 Algorithm 939: Computation of the Marcum \(Q\)-function. Zbl 1322.65046Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2014 The tail of the maximum of Brownian motion minus a parabola. Zbl 1244.60052Groeneboom, Piet; Temme, Nico M. 6 2011 Large degree asymptotics of generalized Bernoulli and Euler polynomials. Zbl 1213.11051López, José Luis; Temme, Nico M. 6 2010 Numerical aspects of special functions. Zbl 1135.65011Temme, Nico M. 6 2007 The ABC of hyper recursions. Zbl 1092.33004Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2006 Computing special functions by using quadrature rules. Zbl 1031.65033Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2003 Asymptotic estimates for generalized Stirling numbers. Zbl 1093.11504Chelluri, R.; Richmond, L. B.; Temme, N. M. 6 2000 Asymptotic inversion of the incomplete beta function. Zbl 0755.33002Temme, N. M. 6 1992 Uniform asymptotic expansions of a class of integrals in terms of modified Bessel functions, with application to confluent hypergeometric functions. Zbl 0693.41033Temme, N. M. 6 1990 Laplace type integrals: Transformation to standard form and uniform asymptotic expansions. Zbl 0581.33001Temme, N. M. 6 1985 Chernoff’s distribution and differential equations of parabolic and Airy type. Zbl 1382.60106Groeneboom, Piet; Lalley, Steven; Temme, Nico 5 2015 Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications. Zbl 1182.26019Temme, Nico M.; Varlamov, Vladimir 5 2009 Numerically satisfactory solutions of Kummer recurrence relations. Zbl 1154.65013Segura, Javier; Temme, Nico M. 5 2008 Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials. Zbl 1059.33010López, José L.; Temme, Nico M. 5 2004 Computing complex Airy functions by numerical quadrature. Zbl 1012.33001Gil, Amparo; Segura, Javier; Temme, Nico M. 5 2002 On polynomials related with Hermite-Padé approximations to the exponential function. Zbl 0913.41012Driver, Kathy A.; Temme, Nico M. 5 1998 Uniform asymptotic expansions of integrals: A selection of problems. Zbl 0849.41024Temme, N. M. 5 1995 A double integral containing the modified Bessel function: Asymptotics and computation. Zbl 0602.33002Temme, N. M. 5 1986 Asymptotic approximations to the nodes and weights of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1391.65134Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2018 The asymptotic and numerical inversion of the Marcum \(Q\)-function. Zbl 1302.33020Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2014 Uniform asymptotic methods for integrals. Zbl 1296.41028Temme, Nico M. 4 2013 Computing the conical function \(P^{\mu}_{-1/2+i\tau}(x)\). Zbl 1189.33006Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2009 Identifying minimal and dominant solutions for Kummer recursions. Zbl 1209.33004Deaño, Alfredo; Segura, Javier; Temme, Nico M. 4 2008 First order approximation of an elliptic 3D singular perturbation problem. Zbl 1145.35362López, José L.; Sinusía, Ester Pérez; Temme, Nico M. 4 2006 Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. Zbl 1072.65024Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2004 Computation of the modified Bessel function of the third kind of imaginary orders: Uniform Airy-type asymptotic expansion. Zbl 1026.65015Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2003 Symbolic evaluation of coefficients in Airy-type asymptotic expansions. Zbl 1001.65024Vidunas, Raimundas; Temme, Nico M. 4 2002 Computing toroidal functions for wide ranges of the parameters. Zbl 0994.65018Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2000 Uniform asymptotic approximation of Fermi-Dirac integrals. Zbl 0707.65008Temme, N. M.; Olde Daalhuis, A. B. 4 1990 On the exact shape of the horizontal profile of a topographically rectified tidal flow. Zbl 0652.76010Maas, L. R. M.; Zimmerman, J. T. F.; Temme, N. M. 4 1987 Numerical evaluation of functions arising from transformations of formal series. Zbl 0335.65007Temme, N. M. 4 1975 Efficient computation of Laguerre polynomials. Zbl 1378.65066Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2017 Efficient algorithms for the inversion of the cumulative central beta distribution. Zbl 1355.65039Gil, A.; Segura, J.; Temme, N. M. 3 2017 The asymptotic inversion of certain cumulative distribution functions. Zbl 1220.65013Gil, Amparo; Segura, Javier; Temme, Nico 3 2010 Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials. Zbl 1122.41018Ferreira, Chelo; López, José L.; Mainar, Esmeralda; Temme, Nico M. 3 2005 Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions. Zbl 1006.41003López, José L.; Temme, Nico M. 3 1999 Zero and pole distribution of diagonal Padé approximants to the exponential function. Zbl 0952.41013Driver, Kathy A.; Temme, Nico M. 3 1999 Analytical methods for a selection of elliptic singular perturbation problems. Zbl 0923.35039Temme, Nico M. 3 1998 Asymptotics and zero distribution of Padé polynomials associated with the exponential function. Zbl 0904.41009Driver, Kathy A.; Temme, Nico M. 3 1998 Bernoulli polynomials old and new: Problems in complex analysis and asymptotics. Zbl 0879.11008Temme, N. M. 3 1994 Computational aspects of incomplete gamma functions with large complex parameters. Zbl 0821.65006Temme, N. M. 3 1994 Asymptotic expansion of a special integral. Zbl 0671.41023Temme, N. M. 3 1989 Analytical methods for a singular perturbation problem. The quarter plane. Zbl 0223.35012Temme, N. M. 3 1971 Entropic uncertainty measures for large dimensional hydrogenic systems. Zbl 1373.81430Puertas-Centeno, D.; Temme, N. M.; Toranzo, I. V.; Dehesa, J. S. 2 2017 Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters. Zbl 1374.33015Temme, N. M.; Toranzo, I. V.; Dehesa, J. S. 2 2017 Basic methods for computing special functions. Zbl 1216.65034Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2011 Large degree asymptotics of generalized Bessel polynomials. Zbl 1213.33011López, José Luis; Temme, Nico M. 2 2011 Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions. Zbl 1195.65025López, José Luis; Temme, Nico M. 2 2010 Computational properties of three-term recurrence relations for Kummer functions. Zbl 1179.65027Deaño, Alfredo; Segura, Javier; Temme, Nico M. 2 2010 On modified asymptotic series involving confluent hypergeometric functions. Zbl 1188.33012Deaño, Alfredo; Temme, Nico M. 2 2009 Asymptotic inversion of the Erlang B formula. Zbl 1186.60101van Leeuwaarden, J. S. H.; Temme, N. M. 2 2009 Asymptotic behaviour of three-dimensional singularly perturbed convection-diffusion problems with discontinuous data. Zbl 1107.35017López, José L.; Sinusía, Ester Pérez; Temme, Nico M. 2 2007 Optimizing an objective function under a bivariate probability model. Zbl 1114.90046Brusset, Xavier; Temme, Nico M. 2 2007 Computing the real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65038Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2006 Evanescence in coined quantum walks. Zbl 1081.82006Carteret, Hilary A.; Richmond, Bruce; Temme, Nico M. 2 2005 Parabolic cylinder functions: Examples of error bounds for asymptotic expansions. Zbl 1049.33003Temme, Nico M.; Vidunas, Raimundas 2 2003 Noniterative computation of Gauss-Jacobi quadrature. Zbl 1408.33020Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2019 Asymptotic approximations to the nodes and weights of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1391.65134Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2018 Asymptotic expansions of Jacobi polynomials for large values of \(\beta\) and of their zeros. Zbl 1393.33011Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2018 Efficient computation of Laguerre polynomials. Zbl 1378.65066Gil, Amparo; Segura, Javier; Temme, Nico M. 3 2017 Efficient algorithms for the inversion of the cumulative central beta distribution. Zbl 1355.65039Gil, A.; Segura, J.; Temme, N. M. 3 2017 Entropic uncertainty measures for large dimensional hydrogenic systems. Zbl 1373.81430Puertas-Centeno, D.; Temme, N. M.; Toranzo, I. V.; Dehesa, J. S. 2 2017 Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters. Zbl 1374.33015Temme, N. M.; Toranzo, I. V.; Dehesa, J. S. 2 2017 Algorithm 969: Computation of the incomplete gamma function for negative values of the argument. Zbl 1391.65043Gil, Amparo; Ruiz-Antolín, Diego; Segura, Javier; Temme, Nico M. 1 2017 Asymptotic methods for integrals. Zbl 1312.41002Temme, Nico M. 16 2015 GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). Zbl 1345.62012Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2015 Chernoff’s distribution and differential equations of parabolic and Airy type. Zbl 1382.60106Groeneboom, Piet; Lalley, Steven; Temme, Nico 5 2015 Computing the Kummer function \(U\)(a, b, z) for small values of the arguments. Zbl 1410.33008Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2015 Algorithm 939: Computation of the Marcum \(Q\)-function. Zbl 1322.65046Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2014 The asymptotic and numerical inversion of the Marcum \(Q\)-function. Zbl 1302.33020Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2014 New series expansions of the Gauss hypergeometric function. Zbl 1276.33006López, José L.; Temme, Nico M. 9 2013 Uniform asymptotic methods for integrals. Zbl 1296.41028Temme, Nico M. 4 2013 On the computation of moments of the partial non-central chi-square distribution function. Zbl 1340.60145Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2013 Efficient and accurate algorithms for the computation and inversion of the incomplete gamma function ratios. Zbl 1259.33006Gil, Amparo; Segura, Javier; Temme, Nico M. 11 2012 An improved algorithm and a Fortran 90 module for computing the conical function \(P^m_{-1/2+i\tau}(x)\). Zbl 1264.65027Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2012 The tail of the maximum of Brownian motion minus a parabola. Zbl 1244.60052Groeneboom, Piet; Temme, Nico M. 6 2011 Basic methods for computing special functions. Zbl 1216.65034Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2011 Large degree asymptotics of generalized Bessel polynomials. Zbl 1213.33011López, José Luis; Temme, Nico M. 2 2011 A sampling theory for asymmetric communities. Zbl 1405.92299Noble, Andrew E.; Temme, Nico M.; Fagan, William F.; Keitt, Timothy H. 1 2011 Algorithm 914: Parabolic cylinder function \(W(a,x)\) and its derivative. Zbl 1365.65047Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2011 A uniform asymptotic expansion for weighted sums of exponentials. Zbl 1245.62010van Leeuwaarden, J. S. H.; Temme, N. M. 1 2011 Fast and accurate computation of the Weber parabolic cylinder function \(W(a, x)\). Zbl 1222.65023Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2011 Large degree asymptotics of generalized Bernoulli and Euler polynomials. Zbl 1213.11051López, José Luis; Temme, Nico M. 6 2010 The asymptotic inversion of certain cumulative distribution functions. Zbl 1220.65013Gil, Amparo; Segura, Javier; Temme, Nico 3 2010 Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions. Zbl 1195.65025López, José Luis; Temme, Nico M. 2 2010 Computational properties of three-term recurrence relations for Kummer functions. Zbl 1179.65027Deaño, Alfredo; Segura, Javier; Temme, Nico M. 2 2010 Analytical and numerical aspects of a generalization of the complementary error function. Zbl 1195.65024Deaño, Alfredo; Temme, Nico M. 1 2010 Multi-point Taylor approximations in one-dimensional linear boundary value problems. Zbl 1158.65051López, José L.; Pérez Sinusía, Ester; Temme, Nico M. 9 2009 Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications. Zbl 1182.26019Temme, Nico M.; Varlamov, Vladimir 5 2009 Computing the conical function \(P^{\mu}_{-1/2+i\tau}(x)\). Zbl 1189.33006Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2009 On modified asymptotic series involving confluent hypergeometric functions. Zbl 1188.33012Deaño, Alfredo; Temme, Nico M. 2 2009 Asymptotic inversion of the Erlang B formula. Zbl 1186.60101van Leeuwaarden, J. S. H.; Temme, N. M. 2 2009 Numerically satisfactory solutions of Kummer recurrence relations. Zbl 1154.65013Segura, Javier; Temme, Nico M. 5 2008 Identifying minimal and dominant solutions for Kummer recursions. Zbl 1209.33004Deaño, Alfredo; Segura, Javier; Temme, Nico M. 4 2008 Numerical methods for special functions. Zbl 1144.65016Gil, Amparo; Segura, Javier; Temme, Nico M. 91 2007 Numerically satisfactory solutions of hypergeometric recursions. Zbl 1117.33005Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2007 Analytical methods for an elliptic singular perturbation problem in a circle. Zbl 1331.35117Temme, N. M. 7 2007 Numerical aspects of special functions. Zbl 1135.65011Temme, Nico M. 6 2007 Asymptotic behaviour of three-dimensional singularly perturbed convection-diffusion problems with discontinuous data. Zbl 1107.35017López, José L.; Sinusía, Ester Pérez; Temme, Nico M. 2 2007 Optimizing an objective function under a bivariate probability model. Zbl 1114.90046Brusset, Xavier; Temme, Nico M. 2 2007 The ABC of hyper recursions. Zbl 1092.33004Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2006 First order approximation of an elliptic 3D singular perturbation problem. Zbl 1145.35362López, José L.; Sinusía, Ester Pérez; Temme, Nico M. 4 2006 Computing the real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65038Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2006 Algorithm 850: Real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65039Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2006 Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials. Zbl 1122.41018Ferreira, Chelo; López, José L.; Mainar, Esmeralda; Temme, Nico M. 3 2005 Evanescence in coined quantum walks. Zbl 1081.82006Carteret, Hilary A.; Richmond, Bruce; Temme, Nico M. 2 2005 Numerical aspects of special functions. Zbl 1087.65527Temme, Nico M. 1 2005 Multi-point Taylor expansions of analytic functions. Zbl 1047.30002López, José L.; Temme, Nico M. 10 2004 Algorithm 831: Modified Bessel functions of imaginary order and positive argument. Zbl 1072.65025Gil, Amparo; Segura, Javier; Temme, Nico M. 7 2004 Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials. Zbl 1059.33010López, José L.; Temme, Nico M. 5 2004 Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. Zbl 1072.65024Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2004 Integral representations for computing real parabolic cylinder functions. Zbl 1054.65023Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2004 Large parameter cases of the Gauss hypergeometric function. Zbl 1019.33003Temme, Nico M. 24 2003 Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002Gautschi, Walter; Harris, F. E.; Temme, N. M. 7 2003 Computing special functions by using quadrature rules. Zbl 1031.65033Gil, Amparo; Segura, Javier; Temme, Nico M. 6 2003 Computation of the modified Bessel function of the third kind of imaginary orders: Uniform Airy-type asymptotic expansion. Zbl 1026.65015Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2003 Parabolic cylinder functions: Examples of error bounds for asymptotic expansions. Zbl 1049.33003Temme, Nico M.; Vidunas, Raimundas 2 2003 On the zeros of the Scorer functions. Zbl 1010.33001Gil, Amparo; Segura, Javier; Temme, Nico M. 1 2003 Two-point Taylor expansions of analytic functions. Zbl 1141.30300López, José L.; Temme, Nico M. 24 2002 Evaluation of the modified Bessel function of the third kind of imaginary orders. Zbl 0996.65026Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2002 Computing complex Airy functions by numerical quadrature. Zbl 1012.33001Gil, Amparo; Segura, Javier; Temme, Nico M. 5 2002 Symbolic evaluation of coefficients in Airy-type asymptotic expansions. Zbl 1001.65024Vidunas, Raimundas; Temme, Nico M. 4 2002 Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions. Zbl 1070.65512Gil, Amparo; Segura, Javier; Temme, Nico M. 2 2002 Critical conditions for phytoplankton blooms. Zbl 1323.92161Ebert, Ute; Arrayás, Manuel; Temme, Nico; Sommeijer, Ben; Huisman, Jef 23 2001 The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis. Zbl 0990.33010Temme, N. M.; López, J. L. 8 2001 On nonoscillating integrals for computing inhomogeneous Airy functions. Zbl 0972.33004Gil, Amparo; Segura, Javier; Temme, Nico M. 8 2001 Numerical and asymptotic aspects of parabolic cylinder functions. Zbl 0966.65023Temme, Nico M. 11 2000 Asymptotic estimates for generalized Stirling numbers. Zbl 1093.11504Chelluri, R.; Richmond, L. B.; Temme, N. M. 6 2000 Computing toroidal functions for wide ranges of the parameters. Zbl 0994.65018Gil, Amparo; Segura, Javier; Temme, Nico M. 4 2000 Approximations of orthogonal polynomials in terms of Hermite polynomials. Zbl 0958.33004López, José L.; Temme, Nico M. 13 1999 Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials. Zbl 0979.33004López, José L.; Temme, Nico M. 9 1999 Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions. Zbl 1006.41003López, José L.; Temme, Nico M. 3 1999 Zero and pole distribution of diagonal Padé approximants to the exponential function. Zbl 0952.41013Driver, Kathy A.; Temme, Nico M. 3 1999 On polynomials related with Hermite-Padé approximations to the exponential function. Zbl 0913.41012Driver, Kathy A.; Temme, Nico M. 5 1998 Analytical methods for a selection of elliptic singular perturbation problems. Zbl 0923.35039Temme, Nico M. 3 1998 Asymptotics and zero distribution of Padé polynomials associated with the exponential function. Zbl 0904.41009Driver, Kathy A.; Temme, Nico M. 3 1998 Recent problems from uniform asymptotic analysis of integrals in particular in connection with Tricomi’s \(\Psi\)-function. Zbl 0967.33003Temme, Nico M. 2 1998 Numerical algorithms for uniform Airy-type asymptotic expansions. Zbl 0886.65012Temme, N. M. 9 1997 Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets. Zbl 0903.42016Temme, Nico M. 1 1997 Special functions. An introduction to the classical functions of mathematical physics. Zbl 0856.33001Temme, Nico M. 213 1996 Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters. Zbl 0863.33002Temme, N. M. 105 1996 Asymptotics and closed form of a generalized incomplete gamma function. Zbl 0853.33003Chaudhry, M. A.; Temme, N. M.; Veling, E. J. M. 16 1996 Uniform asymptotic expansions of integrals: A selection of problems. Zbl 0849.41024Temme, N. M. 5 1995 Bernoulli polynomials old and new: generalizations and asymptotics. Zbl 1044.11547Temme, N. M. 1 1995 Asymptotics of zeros of incomplete gamma functions. Zbl 0827.33001Temme, N. M. 1 1995 Uniform Airy-type expansions of integrals. Zbl 0799.41028Olde Daalhuis, A. B.; Temme, N. M. 15 1994 Steepest descent paths for integrals defining the modified Bessel functions of imaginary order. Zbl 0848.33003Temme, N. M. 7 1994 Bernoulli polynomials old and new: Problems in complex analysis and asymptotics. Zbl 0879.11008Temme, N. M. 3 1994 Computational aspects of incomplete gamma functions with large complex parameters. Zbl 0821.65006Temme, N. M. 3 1994 Numerical aspects of uniform Airy-type asymptotic expansions. Zbl 0815.65031Temme, N. M. 1 1994 Asymptotic estimates of Stirling numbers. Zbl 0784.11007Temme, N. M. 22 1993 Asymptotic and numerical aspects of the noncentral chi-square distribution. Zbl 0768.62013Temme, N. M. 7 1993 Asymptotic inversion of incomplete gamma functions. Zbl 0759.33001Temme, N. M. 7 1992 Asymptotic inversion of the incomplete beta function. Zbl 0755.33002Temme, N. M. 6 1992 Asymptotic estimates for Laguerre polynomials. Zbl 0688.33007Temme, N. M. 12 1990 Uniform asymptotic expansions of a class of integrals in terms of modified Bessel functions, with application to confluent hypergeometric functions. Zbl 0693.41033Temme, N. M. 6 1990 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 902 Authors 63 Temme, Nico M. 43 López, José Luis 41 Segura, Javier 29 Gil, Amparo 21 Pérez Sinusía, Ester 18 Paris, Richard Bruce 15 Ferreira, Chelo 12 Dehesa, Jesús S. 11 Pagola, Pedro J. 11 Wong, Roderick Sue-Chuen 10 Deaño, Alfredo 10 Dixit, Atul 10 Olde Daalhuis, Adri B. 9 Jódar Sanchez, Lucas Antonio 8 Sesma, Javier 7 Driver, Kathy A. 7 Qadir, Asghar 7 Srivastava, Hari Mohan 7 Zhao, Yuqiu 6 Nemes, Gergő 6 Ponnusamy, Saminathan 6 Qi, Feng 5 Dunster, T. M. 5 Groeneboom, Piet 5 Huybrechs, Daan 5 Karatsuba, Ekaterina Anatol’evna 5 Olver, Sheehan Shakiban 5 Sánchez-Moreno, Pablo 5 Varlamov, Vladimir V. 5 Weniger, Ernst Joachim 4 Abad, Julio 4 Aslam Chaudhry, M. 4 Cortés López, Juan Carlos 4 Dominici, Diego Ernesto 4 Hasegawa, Takemitsu 4 Jung, Changyeol 4 Koumandos, Stamatis 4 Lether, Frank G. 4 Lou, Yuan 4 Moll, Victor Hugo 4 Ostrovskii, Dmitrii M. 4 Simsek, Yilmaz 4 Sugiura, Hiroshi 4 Swaminathan, Anbhu 4 Temam, Roger Meyer 4 Toranzo, Irene V. 4 Zaharescu, Alexandru 3 Bazm, Sohrab 3 Borrego-Morell, J. 3 Brezinski, Claude 3 Chiccoli, Cesare 3 Corcino, Cristina Bordaje 3 Corcino, Roberto Bagsarsa 3 Daalhuis, A. B. Olde 3 Diekmann, Odo 3 Gawronski, Wolfgang 3 Guo, Bai-Ni 3 Hwang, Hsien-Kuei 3 Karniadakis, George Em 3 Kuijlaars, Arno B. J. 3 Lam, King-Yeung 3 Lorenzutta, S. 3 Maas, Leo R. M. 3 Maino, Giuseppe 3 Martínez-Finkelshtein, Andrei 3 Mei, Linfeng 3 Moreno-Balcázar, Juan José 3 Naik, Sunanda 3 Ou, Chunhua 3 Pedersen, Henrik Laurberg 3 Potier-Ferry, Michel 3 Rajbangshi, Karabi 3 Ranga, A. Sri 3 Redivo-Zaglia, Michela 3 Roy, Arindam 3 Tassaddiq, Asifa 3 van Leeuwaarden, Johan S. H. 3 Vuorinen, Matti Keijo Kustaa 3 Wang, Haiyong 3 Wielonsky, Franck 3 Yáñez, Rafael J. 3 Zeng, Fanhai 3 Zhou, Jianrong 3 Zimmerman, Joseph T. F. 2 Acikgoz, Mehmet 2 Agarwal, Praveen 2 Akemann, Gernot 2 Almenar, Pedro 2 Ansari, Alireza 2 Baricz, Árpád 2 Berndt, Bruce Carl 2 Blagouchine, Iaroslav V. 2 Borodin, Alexei 2 Boyadzhiev, Khristo N. 2 Bujanda, Blanca 2 Butler, Ronald W. 2 Butzer, Paul Leo 2 Chang, Xiangke 2 Chen, Chaoping 2 Cho, Nak Eun ...and 802 more Authors all top 5 Cited in 225 Serials 98 Journal of Computational and Applied Mathematics 46 Journal of Mathematical Analysis and Applications 29 Applied Mathematics and Computation 19 Mathematics of Computation 14 Journal of Computational Physics 14 Integral Transforms and Special Functions 12 Computers & Mathematics with Applications 12 Journal of Approximation Theory 12 Numerische Mathematik 12 Analysis and Applications (Singapore) 11 Computer Physics Communications 11 Applied Numerical Mathematics 10 Journal of Mathematical Physics 10 Advances in Computational Mathematics 9 Journal of Differential Equations 8 Journal of Mathematical Biology 8 Studies in Applied Mathematics 8 Advances in Applied Mathematics 8 Numerical Algorithms 7 Journal of Number Theory 7 Mathematical and Computer Modelling 6 Proceedings of the American Mathematical Society 6 Abstract and Applied Analysis 5 Communications in Mathematical Physics 5 Journal of Engineering Mathematics 5 BIT 5 Discrete and Continuous Dynamical Systems 5 Proceedings of the Royal Society of London. 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Zeitschrift für angewandte Mathematik und Physik 2 Bulletin of Mathematical Biology 2 ACM Transactions on Mathematical Software 2 Calcolo 2 Journal of Combinatorial Theory. Series A 2 Kybernetika 2 Meccanica 2 Theoretical Computer Science 2 Computer Aided Geometric Design 2 Probability Theory and Related Fields 2 Statistical Science 2 The Annals of Applied Probability 2 Computational Mathematics and Mathematical Physics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Applied and Computational Harmonic Analysis 2 Engineering Analysis with Boundary Elements 2 Electronic Journal of Probability 2 Bernoulli 2 Journal of Mathematical Chemistry 2 Nonlinear Dynamics 2 Journal of Inequalities and Applications 2 Mathematical Inequalities & Applications 2 Analysis (München) 2 Lobachevskii Journal of Mathematics 2 Annales Henri Poincaré 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mediterranean Journal of Mathematics 2 Complex Analysis and Operator Theory 2 Mathematics 1 International Journal of Modern Physics A 1 Advances in Applied Probability 1 Astrophysics and Space Science 1 Computer Methods in Applied Mechanics and Engineering 1 Discrete Applied Mathematics 1 Discrete Mathematics ...and 125 more Serials all top 5 Cited in 49 Fields 336 Special functions (33-XX) 190 Numerical analysis (65-XX) 148 Approximations and expansions (41-XX) 76 Number theory (11-XX) 74 Partial differential equations (35-XX) 68 Ordinary differential equations (34-XX) 65 Functions of a complex variable (30-XX) 52 Probability theory and stochastic processes (60-XX) 46 Statistics (62-XX) 42 Real functions (26-XX) 38 Harmonic analysis on Euclidean spaces (42-XX) 36 Biology and other natural sciences (92-XX) 28 Quantum theory (81-XX) 23 Integral transforms, operational calculus (44-XX) 21 Combinatorics (05-XX) 20 Fluid mechanics (76-XX) 17 Information and communication theory, circuits (94-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Computer science (68-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Difference and functional equations (39-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Sequences, series, summability (40-XX) 10 Integral equations (45-XX) 9 Geophysics (86-XX) 9 Operations research, mathematical programming (90-XX) 8 Operator theory (47-XX) 8 Optics, electromagnetic theory (78-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Functional analysis (46-XX) 6 Mechanics of deformable solids (74-XX) 5 Relativity and gravitational theory (83-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Mechanics of particles and systems (70-XX) 2 Differential geometry (53-XX) 2 Systems theory; control (93-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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